Metamath Proof Explorer


Theorem bj-almpig

Description: A partially quantified form of mpi similar to bj-almpi . (Contributed by BJ, 19-Mar-2026) (Proof modification is discouraged.)

Ref Expression
Hypotheses bj-almpig.maj ( 𝜑 → ( 𝜒𝜓 ) )
bj-almpig.min 𝑥 𝜒
Assertion bj-almpig 𝑥 ( 𝜑𝜓 )

Proof

Step Hyp Ref Expression
1 bj-almpig.maj ( 𝜑 → ( 𝜒𝜓 ) )
2 bj-almpig.min 𝑥 𝜒
3 1 ax-gen 𝑥 ( 𝜑 → ( 𝜒𝜓 ) )
4 3 2 bj-almpi 𝑥 ( 𝜑𝜓 )